Find the general solution using separationof variables y = re" y = 5ry – 2r Solve r dy = y +1 and find the particular solution when y(1) = 1 dr ip dr ry %3D r+1 Solve and find the particular solution when y(1) = 3 %3D = e+2y (I + x)_ P z sin? y. = (r + 1)? dr dy Solve y dy =z and find the particular solution when y(0) = 1 dr %3! y = y - " (1+z*) + ry = 0 dy = eV dx dy 3y – x- | %3D dr 1 xy +y dy cos(x) dy = y? - 1 dr dy 2y cos(r) 1+ sin(x) dy 1 dr y? dx dx 3y?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Differential Equation, calculus
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Find the general solution using separationof variables
dy
Solve r
dr
= y² +1 and find the particular solution when y(1) = 1
/ = ze
y = 5ry – 2r
ry
dy
dy
Solve
dr
I+1
dr
and find the particular solution when y(1) = 3
r(x+1)
r sin y.
dy
= (x+1)2
dr
dy
Solve y?
de
= x and find the particular solution when y(0) = 1
(1+2)-
de
dy
+ xy = 0
dy
= e
d.r
dy
3y – x-
dx
%3D
9 =
y =
ry +y
dy
cos(x)
y?
dy
2y-
cos(r)
dy
3y2
dy
= y? - 1
da
1
dr
dx
1+ sin(x)
dr
||
Transcribed Image Text:Find the general solution using separationof variables dy Solve r dr = y² +1 and find the particular solution when y(1) = 1 / = ze y = 5ry – 2r ry dy dy Solve dr I+1 dr and find the particular solution when y(1) = 3 r(x+1) r sin y. dy = (x+1)2 dr dy Solve y? de = x and find the particular solution when y(0) = 1 (1+2)- de dy + xy = 0 dy = e d.r dy 3y – x- dx %3D 9 = y = ry +y dy cos(x) y? dy 2y- cos(r) dy 3y2 dy = y? - 1 da 1 dr dx 1+ sin(x) dr ||
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